Details

Time bar (total: 3.4s)

sample36.0ms

Algorithm
intervals
Results
14.0ms341×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.3b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series35.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0291345
11204306
25001306

prune83.0ms

Filtered
72 candidates to 47 candidates (34.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh000
Picked011
Done000
Total67673

Merged error: 0.0b

Counts
73 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt a)
21.0ms
(cbrt a)
21.0ms
(cbrt a)
17.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0500954
12500845
25001783

prune118.0ms

Filtered
116 candidates to 84 candidates (27.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh134
Picked011
Done011
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt a))
0.6b
(cbrt (cbrt a))
0.7b
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
3.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
135×cbrt-prod
128×prod-exp cbrt-unprod
127×add-cbrt-cube
82×cbrt-undiv div-exp
81×associate-*r*
80×times-frac
78×add-sqr-sqrt
72×*-un-lft-identity
54×add-cube-cbrt
11×pow1
9×distribute-lft-out-- difference-of-squares
8×associate-*l*
6×frac-times associate-*l/
4×associate-*r/ pow-prod-down add-log-exp unswap-sqr
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 244
Calls
4 calls:
2.0ms
(cbrt (cbrt a))
2.0ms
(cbrt (cbrt a))
39.0ms
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
20.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (cbrt a))
30.0ms
(cbrt (cbrt a))
18.0ms
(* (* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a))))) (/ (cbrt (- z t)) (cbrt (cbrt a))))
76.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (cbrt a)) (cbrt (cbrt a)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014335965
150014679

prune227.0ms

Filtered
256 candidates to 164 candidates (35.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2551256
Fresh033
Picked011
Done022
Total2557262

Merged error: 0b

Counts
262 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt (cbrt a))
0.6b
(pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3)
6.0b
(* (/ y (* (cbrt a) (cbrt a))) (pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
516×cbrt-prod
341×add-sqr-sqrt
331×times-frac
255×*-un-lft-identity
183×add-cube-cbrt
166×unpow-prod-down cube-prod
158×associate-*r*
43×add-exp-log
36×distribute-lft-out-- difference-of-squares
32×unswap-sqr
16×prod-exp
12×div-exp add-cbrt-cube
8×pow-exp
7×associate-*l*
5×pow1 div-inv
4×pow-to-exp cbrt-unprod add-log-exp sqr-pow
3×cbrt-undiv cube-div pow-unpow
2×cube-mult pow1/3 unpow3 rem-cube-cbrt
1×frac-times pow-pow associate-*r/ associate-*l/ *-commutative
Counts
4 → 420
Calls
4 calls:
1.0ms
(cbrt a)
2.0ms
(cbrt (cbrt a))
19.0ms
(pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3)
52.0ms
(* (/ y (* (cbrt a) (cbrt a))) (pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3))

series143.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
30.0ms
(cbrt (cbrt a))
73.0ms
(pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (pow (/ (cbrt (- z t)) (cbrt (cbrt a))) 3))

simplify81.0ms

Algorithm
egg-herbie
Counts
432 → 432
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015055948
150025108

prune226.0ms

Filtered
432 candidates to 147 candidates (66.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4320432
Fresh033
Picked011
Done033
Total4327439

Merged error: 0b

Counts
439 → 7

regimes795.0ms

Accuracy

42% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03337
13337

end0.0ms

sample873.0ms

Algorithm
intervals
Results
334.0ms10692×body80valid

Profiling

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